Approximate Stabilization of One‐dimensional Schrödinger Equations in Inhomogeneous Media

Approximate Stabilization of One‐dimensional Schrödinger Equations in Inhomogeneous Media

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Article ID: iaor20123932
Volume: 153
Issue: 3
Start Page Number: 758
End Page Number: 768
Publication Date: Jun 2012
Journal: Journal of Optimization Theory and Applications
Authors:
Keywords: Lyapunov
Abstract:

We present how to control the bilinear 1D infinite‐dimensional Schrödinger equations in inhomogeneous media (with x‐dependent coefficients), getting the approximate stabilization around ground state. Our arguments are based on constructing a Lyapunov function and a strategy similar to LaSalle invariance principle.

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